Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model

Begoña Ispizua; Josu Doncel

doi:10.3390/s22228754

Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model

Begoña Ispizua
, Josu Doncel^*

^*Corresponding author for this work

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Abstract

Mean-field approximation is a method to investigate the behavior of stochastic models formed by a large number of interacting objects. A new approximation was recently established, i.e., the refined mean-field approximation, and its high accuracy when the number of objects is small has been shown. In this work, we consider the model of the 802.11 protocol, which is a discrete-time model and show how the refined mean-field approximation can be adapted to this model. Our results confirm the accuracy of the refined mean-field approximation when the model with N objects is in discrete time.

Original language	English
Article number	8754
Journal	Sensors
Volume	22
Issue number	22
DOIs	https://doi.org/10.3390/s22228754
Publication status	Published - Nov 2022

Keywords

802.11 protocol model
refined mean-field approximation

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10.3390/s22228754

Analysis of the RefinedLicence: CC BY

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abstract = "Mean-field approximation is a method to investigate the behavior of stochastic models formed by a large number of interacting objects. A new approximation was recently established, i.e., the refined mean-field approximation, and its high accuracy when the number of objects is small has been shown. In this work, we consider the model of the 802.11 protocol, which is a discrete-time model and show how the refined mean-field approximation can be adapted to this model. Our results confirm the accuracy of the refined mean-field approximation when the model with N objects is in discrete time.",

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AB - Mean-field approximation is a method to investigate the behavior of stochastic models formed by a large number of interacting objects. A new approximation was recently established, i.e., the refined mean-field approximation, and its high accuracy when the number of objects is small has been shown. In this work, we consider the model of the 802.11 protocol, which is a discrete-time model and show how the refined mean-field approximation can be adapted to this model. Our results confirm the accuracy of the refined mean-field approximation when the model with N objects is in discrete time.

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Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model

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